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Finding the Fourth Proportional to 26.09, 39.15 and 12.57

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Solution

The fourth proportional to 26.09, 39.15 and 12.57 is: 18.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.09 : 39.15 = 12.57 : x
  2. Step 2: Convert to fraction form
    26.09/39.15 = 12.57/x
  3. Step 3: Cross multiply
    26.09x = 39.15 × 12.57
  4. Step 4: Simplify right side
    26.09x = 491.86
  5. Step 5: Solve for x
    x = 491.86/26.09
  6. Step 6: Final answer
    x = 18.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.